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Finding the Third Proportional to 70,702 and 103,677

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Solution

The third proportional to 70,702 and 103,677 is: 152,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702 : 103,677 = 103,677 : x
  2. Step 2: Convert to fraction form
    70,702/103,677 = 103,677/x
  3. Step 3: Cross multiply
    70,702x = 103,677 × 103,677
  4. Step 4: Simplify right side
    70,702x = 10,748,920,329
  5. Step 5: Solve for x
    x = 10,748,920,329/70,702
  6. Step 6: Final answer
    x = 152,031.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.