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Finding the Third Proportional to 65,748 and 141,875.25

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Solution

The third proportional to 65,748 and 141,875.25 is: 306,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748 : 141,875.25 = 141,875.25 : x
  2. Step 2: Convert to fraction form
    65,748/141,875.25 = 141,875.25/x
  3. Step 3: Cross multiply
    65,748x = 141,875.25 × 141,875.25
  4. Step 4: Simplify right side
    65,748x = 20,128,586,562.56
  5. Step 5: Solve for x
    x = 20,128,586,562.56/65,748
  6. Step 6: Final answer
    x = 306,147.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.