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Finding the Third Proportional to 48,980.25 and 78,207.75

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Solution

The third proportional to 48,980.25 and 78,207.75 is: 124,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,980.25 : 78,207.75 = 78,207.75 : x
  2. Step 2: Convert to fraction form
    48,980.25/78,207.75 = 78,207.75/x
  3. Step 3: Cross multiply
    48,980.25x = 78,207.75 × 78,207.75
  4. Step 4: Simplify right side
    48,980.25x = 6,116,452,160.06
  5. Step 5: Solve for x
    x = 6,116,452,160.06/48,980.25
  6. Step 6: Final answer
    x = 124,875.89

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