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Finding the Third Proportional to 119,130.75 and 175,051.13

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Solution

The third proportional to 119,130.75 and 175,051.13 is: 257,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,130.75 : 175,051.13 = 175,051.13 : x
  2. Step 2: Convert to fraction form
    119,130.75/175,051.13 = 175,051.13/x
  3. Step 3: Cross multiply
    119,130.75x = 175,051.13 × 175,051.13
  4. Step 4: Simplify right side
    119,130.75x = 30,642,896,363.77
  5. Step 5: Solve for x
    x = 30,642,896,363.77/119,130.75
  6. Step 6: Final answer
    x = 257,220.71

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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.