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Finding the Third Proportional to 78,549.75 and 112,235.63

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Solution

The third proportional to 78,549.75 and 112,235.63 is: 160,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.75 : 112,235.63 = 112,235.63 : x
  2. Step 2: Convert to fraction form
    78,549.75/112,235.63 = 112,235.63/x
  3. Step 3: Cross multiply
    78,549.75x = 112,235.63 × 112,235.63
  4. Step 4: Simplify right side
    78,549.75x = 12,596,835,519.14
  5. Step 5: Solve for x
    x = 12,596,835,519.14/78,549.75
  6. Step 6: Final answer
    x = 160,367.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.