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Finding the Third Proportional to 74,282 and 115,070

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Solution

The third proportional to 74,282 and 115,070 is: 178,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,282 : 115,070 = 115,070 : x
  2. Step 2: Convert to fraction form
    74,282/115,070 = 115,070/x
  3. Step 3: Cross multiply
    74,282x = 115,070 × 115,070
  4. Step 4: Simplify right side
    74,282x = 13,241,104,900
  5. Step 5: Solve for x
    x = 13,241,104,900/74,282
  6. Step 6: Final answer
    x = 178,254.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.