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Finding the Third Proportional to 63,697 and 134,987

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Solution

The third proportional to 63,697 and 134,987 is: 286,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,697 : 134,987 = 134,987 : x
  2. Step 2: Convert to fraction form
    63,697/134,987 = 134,987/x
  3. Step 3: Cross multiply
    63,697x = 134,987 × 134,987
  4. Step 4: Simplify right side
    63,697x = 18,221,490,169
  5. Step 5: Solve for x
    x = 18,221,490,169/63,697
  6. Step 6: Final answer
    x = 286,065.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.