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Finding the Third Proportional to 48,156 and 74,113.50

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Solution

The third proportional to 48,156 and 74,113.50 is: 114,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,156 : 74,113.50 = 74,113.50 : x
  2. Step 2: Convert to fraction form
    48,156/74,113.50 = 74,113.50/x
  3. Step 3: Cross multiply
    48,156x = 74,113.50 × 74,113.50
  4. Step 4: Simplify right side
    48,156x = 5,492,810,882.25
  5. Step 5: Solve for x
    x = 5,492,810,882.25/48,156
  6. Step 6: Final answer
    x = 114,062.86

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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.