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Finding the Third Proportional to 75,402 and 157,006

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Solution

The third proportional to 75,402 and 157,006 is: 326,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402 : 157,006 = 157,006 : x
  2. Step 2: Convert to fraction form
    75,402/157,006 = 157,006/x
  3. Step 3: Cross multiply
    75,402x = 157,006 × 157,006
  4. Step 4: Simplify right side
    75,402x = 24,650,884,036
  5. Step 5: Solve for x
    x = 24,650,884,036/75,402
  6. Step 6: Final answer
    x = 326,926.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.