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Finding the Third Proportional to 102,359 and 157,913

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Solution

The third proportional to 102,359 and 157,913 is: 243,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,359 : 157,913 = 157,913 : x
  2. Step 2: Convert to fraction form
    102,359/157,913 = 157,913/x
  3. Step 3: Cross multiply
    102,359x = 157,913 × 157,913
  4. Step 4: Simplify right side
    102,359x = 24,936,515,569
  5. Step 5: Solve for x
    x = 24,936,515,569/102,359
  6. Step 6: Final answer
    x = 243,618.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.