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Finding the Third Proportional to 91,748 and 141,063

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Solution

The third proportional to 91,748 and 141,063 is: 216,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,748 : 141,063 = 141,063 : x
  2. Step 2: Convert to fraction form
    91,748/141,063 = 141,063/x
  3. Step 3: Cross multiply
    91,748x = 141,063 × 141,063
  4. Step 4: Simplify right side
    91,748x = 19,898,769,969
  5. Step 5: Solve for x
    x = 19,898,769,969/91,748
  6. Step 6: Final answer
    x = 216,885.05

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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.