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Finding the Third Proportional to 104,748.19 and 182,386.69

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Solution

The third proportional to 104,748.19 and 182,386.69 is: 317,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,748.19 : 182,386.69 = 182,386.69 : x
  2. Step 2: Convert to fraction form
    104,748.19/182,386.69 = 182,386.69/x
  3. Step 3: Cross multiply
    104,748.19x = 182,386.69 × 182,386.69
  4. Step 4: Simplify right side
    104,748.19x = 33,264,903,777.22
  5. Step 5: Solve for x
    x = 33,264,903,777.22/104,748.19
  6. Step 6: Final answer
    x = 317,570.21

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.