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Finding the Third Proportional to 74,306 and 130,996

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Solution

The third proportional to 74,306 and 130,996 is: 230,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,306 : 130,996 = 130,996 : x
  2. Step 2: Convert to fraction form
    74,306/130,996 = 130,996/x
  3. Step 3: Cross multiply
    74,306x = 130,996 × 130,996
  4. Step 4: Simplify right side
    74,306x = 17,159,952,016
  5. Step 5: Solve for x
    x = 17,159,952,016/74,306
  6. Step 6: Final answer
    x = 230,936.29

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.