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Finding the Third Proportional to 74,090 and 158,540

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Solution

The third proportional to 74,090 and 158,540 is: 339,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,090 : 158,540 = 158,540 : x
  2. Step 2: Convert to fraction form
    74,090/158,540 = 158,540/x
  3. Step 3: Cross multiply
    74,090x = 158,540 × 158,540
  4. Step 4: Simplify right side
    74,090x = 25,134,931,600
  5. Step 5: Solve for x
    x = 25,134,931,600/74,090
  6. Step 6: Final answer
    x = 339,248.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.