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Finding the Third Proportional to 59,254 and 78,295

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Solution

The third proportional to 59,254 and 78,295 is: 103,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,254 : 78,295 = 78,295 : x
  2. Step 2: Convert to fraction form
    59,254/78,295 = 78,295/x
  3. Step 3: Cross multiply
    59,254x = 78,295 × 78,295
  4. Step 4: Simplify right side
    59,254x = 6,130,107,025
  5. Step 5: Solve for x
    x = 6,130,107,025/59,254
  6. Step 6: Final answer
    x = 103,454.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.