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Finding the Third Proportional to 88,741 and 130,506

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Solution

The third proportional to 88,741 and 130,506 is: 191,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,741 : 130,506 = 130,506 : x
  2. Step 2: Convert to fraction form
    88,741/130,506 = 130,506/x
  3. Step 3: Cross multiply
    88,741x = 130,506 × 130,506
  4. Step 4: Simplify right side
    88,741x = 17,031,816,036
  5. Step 5: Solve for x
    x = 17,031,816,036/88,741
  6. Step 6: Final answer
    x = 191,927.25

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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.