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Finding the Third Proportional to 60,846 and 130,746

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Solution

The third proportional to 60,846 and 130,746 is: 280,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,846 : 130,746 = 130,746 : x
  2. Step 2: Convert to fraction form
    60,846/130,746 = 130,746/x
  3. Step 3: Cross multiply
    60,846x = 130,746 × 130,746
  4. Step 4: Simplify right side
    60,846x = 17,094,516,516
  5. Step 5: Solve for x
    x = 17,094,516,516/60,846
  6. Step 6: Final answer
    x = 280,947.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.