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Finding the Third Proportional to 87,547.50 and 127,494

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Solution

The third proportional to 87,547.50 and 127,494 is: 185,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,547.50 : 127,494 = 127,494 : x
  2. Step 2: Convert to fraction form
    87,547.50/127,494 = 127,494/x
  3. Step 3: Cross multiply
    87,547.50x = 127,494 × 127,494
  4. Step 4: Simplify right side
    87,547.50x = 16,254,720,036
  5. Step 5: Solve for x
    x = 16,254,720,036/87,547.50
  6. Step 6: Final answer
    x = 185,667.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.