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Finding the Third Proportional to 52,866 and 77,838.75

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Solution

The third proportional to 52,866 and 77,838.75 is: 114,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866 : 77,838.75 = 77,838.75 : x
  2. Step 2: Convert to fraction form
    52,866/77,838.75 = 77,838.75/x
  3. Step 3: Cross multiply
    52,866x = 77,838.75 × 77,838.75
  4. Step 4: Simplify right side
    52,866x = 6,058,871,001.56
  5. Step 5: Solve for x
    x = 6,058,871,001.56/52,866
  6. Step 6: Final answer
    x = 114,608.08

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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.