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Finding the Third Proportional to 52,901.86 and 77,661.28

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Solution

The third proportional to 52,901.86 and 77,661.28 is: 114,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,901.86 : 77,661.28 = 77,661.28 : x
  2. Step 2: Convert to fraction form
    52,901.86/77,661.28 = 77,661.28/x
  3. Step 3: Cross multiply
    52,901.86x = 77,661.28 × 77,661.28
  4. Step 4: Simplify right side
    52,901.86x = 6,031,274,605.39
  5. Step 5: Solve for x
    x = 6,031,274,605.39/52,901.86
  6. Step 6: Final answer
    x = 114,008.75

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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.