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Finding the Third Proportional to 109,527 and 141,826.50

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Solution

The third proportional to 109,527 and 141,826.50 is: 183,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,527 : 141,826.50 = 141,826.50 : x
  2. Step 2: Convert to fraction form
    109,527/141,826.50 = 141,826.50/x
  3. Step 3: Cross multiply
    109,527x = 141,826.50 × 141,826.50
  4. Step 4: Simplify right side
    109,527x = 20,114,756,102.25
  5. Step 5: Solve for x
    x = 20,114,756,102.25/109,527
  6. Step 6: Final answer
    x = 183,651.12

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.