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Finding the Third Proportional to 85,513.22 and 136,095.19

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Solution

The third proportional to 85,513.22 and 136,095.19 is: 216,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,513.22 : 136,095.19 = 136,095.19 : x
  2. Step 2: Convert to fraction form
    85,513.22/136,095.19 = 136,095.19/x
  3. Step 3: Cross multiply
    85,513.22x = 136,095.19 × 136,095.19
  4. Step 4: Simplify right side
    85,513.22x = 18,521,900,060.66
  5. Step 5: Solve for x
    x = 18,521,900,060.66/85,513.22
  6. Step 6: Final answer
    x = 216,596.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.