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Finding the Third Proportional to 52,932 and 77,928

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Solution

The third proportional to 52,932 and 77,928 is: 114,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,932 : 77,928 = 77,928 : x
  2. Step 2: Convert to fraction form
    52,932/77,928 = 77,928/x
  3. Step 3: Cross multiply
    52,932x = 77,928 × 77,928
  4. Step 4: Simplify right side
    52,932x = 6,072,773,184
  5. Step 5: Solve for x
    x = 6,072,773,184/52,932
  6. Step 6: Final answer
    x = 114,727.82

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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.