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Finding the Third Proportional to 60,357 and 93,987

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Solution

The third proportional to 60,357 and 93,987 is: 146,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,357 : 93,987 = 93,987 : x
  2. Step 2: Convert to fraction form
    60,357/93,987 = 93,987/x
  3. Step 3: Cross multiply
    60,357x = 93,987 × 93,987
  4. Step 4: Simplify right side
    60,357x = 8,833,556,169
  5. Step 5: Solve for x
    x = 8,833,556,169/60,357
  6. Step 6: Final answer
    x = 146,355.12

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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.