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Finding the Third Proportional to 67,575.50 and 101,363

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Solution

The third proportional to 67,575.50 and 101,363 is: 152,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,575.50 : 101,363 = 101,363 : x
  2. Step 2: Convert to fraction form
    67,575.50/101,363 = 101,363/x
  3. Step 3: Cross multiply
    67,575.50x = 101,363 × 101,363
  4. Step 4: Simplify right side
    67,575.50x = 10,274,457,769
  5. Step 5: Solve for x
    x = 10,274,457,769/67,575.50
  6. Step 6: Final answer
    x = 152,044.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.