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Finding the Third Proportional to 102,924 and 154,628

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Solution

The third proportional to 102,924 and 154,628 is: 232,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,924 : 154,628 = 154,628 : x
  2. Step 2: Convert to fraction form
    102,924/154,628 = 154,628/x
  3. Step 3: Cross multiply
    102,924x = 154,628 × 154,628
  4. Step 4: Simplify right side
    102,924x = 23,909,818,384
  5. Step 5: Solve for x
    x = 23,909,818,384/102,924
  6. Step 6: Final answer
    x = 232,305.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.