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Finding the Third Proportional to 92,283.19 and 142,507.69

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Solution

The third proportional to 92,283.19 and 142,507.69 is: 220,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,283.19 : 142,507.69 = 142,507.69 : x
  2. Step 2: Convert to fraction form
    92,283.19/142,507.69 = 142,507.69/x
  3. Step 3: Cross multiply
    92,283.19x = 142,507.69 × 142,507.69
  4. Step 4: Simplify right side
    92,283.19x = 20,308,440,996.60
  5. Step 5: Solve for x
    x = 20,308,440,996.60/92,283.19
  6. Step 6: Final answer
    x = 220,066.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.