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Finding the Third Proportional to 124,334 and 187,537

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Solution

The third proportional to 124,334 and 187,537 is: 282,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,334 : 187,537 = 187,537 : x
  2. Step 2: Convert to fraction form
    124,334/187,537 = 187,537/x
  3. Step 3: Cross multiply
    124,334x = 187,537 × 187,537
  4. Step 4: Simplify right side
    124,334x = 35,170,126,369
  5. Step 5: Solve for x
    x = 35,170,126,369/124,334
  6. Step 6: Final answer
    x = 282,868.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.