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Finding the Third Proportional to 59,721 and 93,213

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Solution

The third proportional to 59,721 and 93,213 is: 145,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,721 : 93,213 = 93,213 : x
  2. Step 2: Convert to fraction form
    59,721/93,213 = 93,213/x
  3. Step 3: Cross multiply
    59,721x = 93,213 × 93,213
  4. Step 4: Simplify right side
    59,721x = 8,688,663,369
  5. Step 5: Solve for x
    x = 8,688,663,369/59,721
  6. Step 6: Final answer
    x = 145,487.57

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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.