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Finding the Third Proportional to 76,473.75 and 157,864.13

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Solution

The third proportional to 76,473.75 and 157,864.13 is: 325,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473.75 : 157,864.13 = 157,864.13 : x
  2. Step 2: Convert to fraction form
    76,473.75/157,864.13 = 157,864.13/x
  3. Step 3: Cross multiply
    76,473.75x = 157,864.13 × 157,864.13
  4. Step 4: Simplify right side
    76,473.75x = 24,921,081,962.02
  5. Step 5: Solve for x
    x = 24,921,081,962.02/76,473.75
  6. Step 6: Final answer
    x = 325,877.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.