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Finding the Third Proportional to 31,258 and 67,403

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Solution

The third proportional to 31,258 and 67,403 is: 145,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,258 : 67,403 = 67,403 : x
  2. Step 2: Convert to fraction form
    31,258/67,403 = 67,403/x
  3. Step 3: Cross multiply
    31,258x = 67,403 × 67,403
  4. Step 4: Simplify right side
    31,258x = 4,543,164,409
  5. Step 5: Solve for x
    x = 4,543,164,409/31,258
  6. Step 6: Final answer
    x = 145,344.05

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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.