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Finding the Third Proportional to 48,258 and 75,780

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Solution

The third proportional to 48,258 and 75,780 is: 118,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,258 : 75,780 = 75,780 : x
  2. Step 2: Convert to fraction form
    48,258/75,780 = 75,780/x
  3. Step 3: Cross multiply
    48,258x = 75,780 × 75,780
  4. Step 4: Simplify right side
    48,258x = 5,742,608,400
  5. Step 5: Solve for x
    x = 5,742,608,400/48,258
  6. Step 6: Final answer
    x = 118,998.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.