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Finding the Third Proportional to 102,060 and 162,114.75

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Solution

The third proportional to 102,060 and 162,114.75 is: 257,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,060 : 162,114.75 = 162,114.75 : x
  2. Step 2: Convert to fraction form
    102,060/162,114.75 = 162,114.75/x
  3. Step 3: Cross multiply
    102,060x = 162,114.75 × 162,114.75
  4. Step 4: Simplify right side
    102,060x = 26,281,192,167.56
  5. Step 5: Solve for x
    x = 26,281,192,167.56/102,060
  6. Step 6: Final answer
    x = 257,507.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.