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Finding the Third Proportional to 109,265.06 and 168,750

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Solution

The third proportional to 109,265.06 and 168,750 is: 260,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,265.06 : 168,750 = 168,750 : x
  2. Step 2: Convert to fraction form
    109,265.06/168,750 = 168,750/x
  3. Step 3: Cross multiply
    109,265.06x = 168,750 × 168,750
  4. Step 4: Simplify right side
    109,265.06x = 28,476,562,500
  5. Step 5: Solve for x
    x = 28,476,562,500/109,265.06
  6. Step 6: Final answer
    x = 260,619.10

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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.