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Finding the Third Proportional to 107,334 and 157,718.25

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Solution

The third proportional to 107,334 and 157,718.25 is: 231,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,334 : 157,718.25 = 157,718.25 : x
  2. Step 2: Convert to fraction form
    107,334/157,718.25 = 157,718.25/x
  3. Step 3: Cross multiply
    107,334x = 157,718.25 × 157,718.25
  4. Step 4: Simplify right side
    107,334x = 24,875,046,383.06
  5. Step 5: Solve for x
    x = 24,875,046,383.06/107,334
  6. Step 6: Final answer
    x = 231,753.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.