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Finding the Third Proportional to 75,709.13 and 163,957.88

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Solution

The third proportional to 75,709.13 and 163,957.88 is: 355,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.13 : 163,957.88 = 163,957.88 : x
  2. Step 2: Convert to fraction form
    75,709.13/163,957.88 = 163,957.88/x
  3. Step 3: Cross multiply
    75,709.13x = 163,957.88 × 163,957.88
  4. Step 4: Simplify right side
    75,709.13x = 26,882,184,774.52
  5. Step 5: Solve for x
    x = 26,882,184,774.52/75,709.13
  6. Step 6: Final answer
    x = 355,071.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.