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Finding the Third Proportional to 55,957.50 and 86,646

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Solution

The third proportional to 55,957.50 and 86,646 is: 134,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,957.50 : 86,646 = 86,646 : x
  2. Step 2: Convert to fraction form
    55,957.50/86,646 = 86,646/x
  3. Step 3: Cross multiply
    55,957.50x = 86,646 × 86,646
  4. Step 4: Simplify right side
    55,957.50x = 7,507,529,316
  5. Step 5: Solve for x
    x = 7,507,529,316/55,957.50
  6. Step 6: Final answer
    x = 134,164.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.