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Finding the Third Proportional to 62,664 and 96,987

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Solution

The third proportional to 62,664 and 96,987 is: 150,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,664 : 96,987 = 96,987 : x
  2. Step 2: Convert to fraction form
    62,664/96,987 = 96,987/x
  3. Step 3: Cross multiply
    62,664x = 96,987 × 96,987
  4. Step 4: Simplify right side
    62,664x = 9,406,478,169
  5. Step 5: Solve for x
    x = 9,406,478,169/62,664
  6. Step 6: Final answer
    x = 150,109.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.