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Finding the Third Proportional to 40,324 and 59,078

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Solution

The third proportional to 40,324 and 59,078 is: 86,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,324 : 59,078 = 59,078 : x
  2. Step 2: Convert to fraction form
    40,324/59,078 = 59,078/x
  3. Step 3: Cross multiply
    40,324x = 59,078 × 59,078
  4. Step 4: Simplify right side
    40,324x = 3,490,210,084
  5. Step 5: Solve for x
    x = 3,490,210,084/40,324
  6. Step 6: Final answer
    x = 86,554.16

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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.