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Finding the Third Proportional to 60,023 and 130,617

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Solution

The third proportional to 60,023 and 130,617 is: 284,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,023 : 130,617 = 130,617 : x
  2. Step 2: Convert to fraction form
    60,023/130,617 = 130,617/x
  3. Step 3: Cross multiply
    60,023x = 130,617 × 130,617
  4. Step 4: Simplify right side
    60,023x = 17,060,800,689
  5. Step 5: Solve for x
    x = 17,060,800,689/60,023
  6. Step 6: Final answer
    x = 284,237.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.