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Finding the Third Proportional to 98,727.75 and 153,151.13

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Solution

The third proportional to 98,727.75 and 153,151.13 is: 237,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,727.75 : 153,151.13 = 153,151.13 : x
  2. Step 2: Convert to fraction form
    98,727.75/153,151.13 = 153,151.13/x
  3. Step 3: Cross multiply
    98,727.75x = 153,151.13 × 153,151.13
  4. Step 4: Simplify right side
    98,727.75x = 23,455,267,088.77
  5. Step 5: Solve for x
    x = 23,455,267,088.77/98,727.75
  6. Step 6: Final answer
    x = 237,575.22

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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.