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Finding the Third Proportional to 48,702 and 77,802.50

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Solution

The third proportional to 48,702 and 77,802.50 is: 124,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,702 : 77,802.50 = 77,802.50 : x
  2. Step 2: Convert to fraction form
    48,702/77,802.50 = 77,802.50/x
  3. Step 3: Cross multiply
    48,702x = 77,802.50 × 77,802.50
  4. Step 4: Simplify right side
    48,702x = 6,053,229,006.25
  5. Step 5: Solve for x
    x = 6,053,229,006.25/48,702
  6. Step 6: Final answer
    x = 124,291.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.