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Finding the Third Proportional to 77,952 and 124,033.50

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Solution

The third proportional to 77,952 and 124,033.50 is: 197,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952 : 124,033.50 = 124,033.50 : x
  2. Step 2: Convert to fraction form
    77,952/124,033.50 = 124,033.50/x
  3. Step 3: Cross multiply
    77,952x = 124,033.50 × 124,033.50
  4. Step 4: Simplify right side
    77,952x = 15,384,309,122.25
  5. Step 5: Solve for x
    x = 15,384,309,122.25/77,952
  6. Step 6: Final answer
    x = 197,356.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.