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Finding the Third Proportional to 74,877 and 163,572

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Solution

The third proportional to 74,877 and 163,572 is: 357,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,877 : 163,572 = 163,572 : x
  2. Step 2: Convert to fraction form
    74,877/163,572 = 163,572/x
  3. Step 3: Cross multiply
    74,877x = 163,572 × 163,572
  4. Step 4: Simplify right side
    74,877x = 26,755,799,184
  5. Step 5: Solve for x
    x = 26,755,799,184/74,877
  6. Step 6: Final answer
    x = 357,330.01

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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.