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Finding the Third Proportional to 65,334 and 92,005.50

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Solution

The third proportional to 65,334 and 92,005.50 is: 129,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,334 : 92,005.50 = 92,005.50 : x
  2. Step 2: Convert to fraction form
    65,334/92,005.50 = 92,005.50/x
  3. Step 3: Cross multiply
    65,334x = 92,005.50 × 92,005.50
  4. Step 4: Simplify right side
    65,334x = 8,465,012,030.25
  5. Step 5: Solve for x
    x = 8,465,012,030.25/65,334
  6. Step 6: Final answer
    x = 129,565.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.