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Finding the Third Proportional to 60,588 and 93,001

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Solution

The third proportional to 60,588 and 93,001 is: 142,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,588 : 93,001 = 93,001 : x
  2. Step 2: Convert to fraction form
    60,588/93,001 = 93,001/x
  3. Step 3: Cross multiply
    60,588x = 93,001 × 93,001
  4. Step 4: Simplify right side
    60,588x = 8,649,186,001
  5. Step 5: Solve for x
    x = 8,649,186,001/60,588
  6. Step 6: Final answer
    x = 142,754.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.