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Finding the Third Proportional to 74,127 and 161,358

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Solution

The third proportional to 74,127 and 161,358 is: 351,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,127 : 161,358 = 161,358 : x
  2. Step 2: Convert to fraction form
    74,127/161,358 = 161,358/x
  3. Step 3: Cross multiply
    74,127x = 161,358 × 161,358
  4. Step 4: Simplify right side
    74,127x = 26,036,404,164
  5. Step 5: Solve for x
    x = 26,036,404,164/74,127
  6. Step 6: Final answer
    x = 351,240.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.