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Finding the Third Proportional to 65,310 and 97,711

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Solution

The third proportional to 65,310 and 97,711 is: 146,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,310 : 97,711 = 97,711 : x
  2. Step 2: Convert to fraction form
    65,310/97,711 = 97,711/x
  3. Step 3: Cross multiply
    65,310x = 97,711 × 97,711
  4. Step 4: Simplify right side
    65,310x = 9,547,439,521
  5. Step 5: Solve for x
    x = 9,547,439,521/65,310
  6. Step 6: Final answer
    x = 146,186.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.