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Finding the Third Proportional to 86,312 and 118,124

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Solution

The third proportional to 86,312 and 118,124 is: 161,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,312 : 118,124 = 118,124 : x
  2. Step 2: Convert to fraction form
    86,312/118,124 = 118,124/x
  3. Step 3: Cross multiply
    86,312x = 118,124 × 118,124
  4. Step 4: Simplify right side
    86,312x = 13,953,279,376
  5. Step 5: Solve for x
    x = 13,953,279,376/86,312
  6. Step 6: Final answer
    x = 161,660.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.