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Finding the Third Proportional to 100,440 and 147,588

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Solution

The third proportional to 100,440 and 147,588 is: 216,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 147,588 = 147,588 : x
  2. Step 2: Convert to fraction form
    100,440/147,588 = 147,588/x
  3. Step 3: Cross multiply
    100,440x = 147,588 × 147,588
  4. Step 4: Simplify right side
    100,440x = 21,782,217,744
  5. Step 5: Solve for x
    x = 21,782,217,744/100,440
  6. Step 6: Final answer
    x = 216,867.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.