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Finding the Third Proportional to 98,754 and 152,931

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Solution

The third proportional to 98,754 and 152,931 is: 236,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,754 : 152,931 = 152,931 : x
  2. Step 2: Convert to fraction form
    98,754/152,931 = 152,931/x
  3. Step 3: Cross multiply
    98,754x = 152,931 × 152,931
  4. Step 4: Simplify right side
    98,754x = 23,387,890,761
  5. Step 5: Solve for x
    x = 23,387,890,761/98,754
  6. Step 6: Final answer
    x = 236,829.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.