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Finding the Third Proportional to 65,310 and 133,386

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Solution

The third proportional to 65,310 and 133,386 is: 272,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,310 : 133,386 = 133,386 : x
  2. Step 2: Convert to fraction form
    65,310/133,386 = 133,386/x
  3. Step 3: Cross multiply
    65,310x = 133,386 × 133,386
  4. Step 4: Simplify right side
    65,310x = 17,791,824,996
  5. Step 5: Solve for x
    x = 17,791,824,996/65,310
  6. Step 6: Final answer
    x = 272,421.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.