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Finding the Third Proportional to 70,386 and 103,711

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Solution

The third proportional to 70,386 and 103,711 is: 152,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,386 : 103,711 = 103,711 : x
  2. Step 2: Convert to fraction form
    70,386/103,711 = 103,711/x
  3. Step 3: Cross multiply
    70,386x = 103,711 × 103,711
  4. Step 4: Simplify right side
    70,386x = 10,755,971,521
  5. Step 5: Solve for x
    x = 10,755,971,521/70,386
  6. Step 6: Final answer
    x = 152,814.08

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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.