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Finding the Third Proportional to 74,484 and 162,070

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Solution

The third proportional to 74,484 and 162,070 is: 352,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,484 : 162,070 = 162,070 : x
  2. Step 2: Convert to fraction form
    74,484/162,070 = 162,070/x
  3. Step 3: Cross multiply
    74,484x = 162,070 × 162,070
  4. Step 4: Simplify right side
    74,484x = 26,266,684,900
  5. Step 5: Solve for x
    x = 26,266,684,900/74,484
  6. Step 6: Final answer
    x = 352,648.69

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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.