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Finding the Third Proportional to 127,528 and 187,402

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Solution

The third proportional to 127,528 and 187,402 is: 275,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,528 : 187,402 = 187,402 : x
  2. Step 2: Convert to fraction form
    127,528/187,402 = 187,402/x
  3. Step 3: Cross multiply
    127,528x = 187,402 × 187,402
  4. Step 4: Simplify right side
    127,528x = 35,119,509,604
  5. Step 5: Solve for x
    x = 35,119,509,604/127,528
  6. Step 6: Final answer
    x = 275,386.66

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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.