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Finding the Third Proportional to 119,060 and 174,702

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Solution

The third proportional to 119,060 and 174,702 is: 256,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,060 : 174,702 = 174,702 : x
  2. Step 2: Convert to fraction form
    119,060/174,702 = 174,702/x
  3. Step 3: Cross multiply
    119,060x = 174,702 × 174,702
  4. Step 4: Simplify right side
    119,060x = 30,520,788,804
  5. Step 5: Solve for x
    x = 30,520,788,804/119,060
  6. Step 6: Final answer
    x = 256,347.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.