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Finding the Third Proportional to 92,904 and 142,359

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Solution

The third proportional to 92,904 and 142,359 is: 218,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,904 : 142,359 = 142,359 : x
  2. Step 2: Convert to fraction form
    92,904/142,359 = 142,359/x
  3. Step 3: Cross multiply
    92,904x = 142,359 × 142,359
  4. Step 4: Simplify right side
    92,904x = 20,266,084,881
  5. Step 5: Solve for x
    x = 20,266,084,881/92,904
  6. Step 6: Final answer
    x = 218,140.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.