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Finding the Third Proportional to 59,730 and 93,225

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Solution

The third proportional to 59,730 and 93,225 is: 145,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,730 : 93,225 = 93,225 : x
  2. Step 2: Convert to fraction form
    59,730/93,225 = 93,225/x
  3. Step 3: Cross multiply
    59,730x = 93,225 × 93,225
  4. Step 4: Simplify right side
    59,730x = 8,690,900,625
  5. Step 5: Solve for x
    x = 8,690,900,625/59,730
  6. Step 6: Final answer
    x = 145,503.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.