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Finding the Third Proportional to 52,304 and 77,440

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Solution

The third proportional to 52,304 and 77,440 is: 114,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304 : 77,440 = 77,440 : x
  2. Step 2: Convert to fraction form
    52,304/77,440 = 77,440/x
  3. Step 3: Cross multiply
    52,304x = 77,440 × 77,440
  4. Step 4: Simplify right side
    52,304x = 5,996,953,600
  5. Step 5: Solve for x
    x = 5,996,953,600/52,304
  6. Step 6: Final answer
    x = 114,655.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.