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Finding the Third Proportional to 63,624 and 93,492

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Solution

The third proportional to 63,624 and 93,492 is: 137,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,624 : 93,492 = 93,492 : x
  2. Step 2: Convert to fraction form
    63,624/93,492 = 93,492/x
  3. Step 3: Cross multiply
    63,624x = 93,492 × 93,492
  4. Step 4: Simplify right side
    63,624x = 8,740,754,064
  5. Step 5: Solve for x
    x = 8,740,754,064/63,624
  6. Step 6: Final answer
    x = 137,381.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.