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Finding the Third Proportional to 75,363 and 119,962.88

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Solution

The third proportional to 75,363 and 119,962.88 is: 190,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,363 : 119,962.88 = 119,962.88 : x
  2. Step 2: Convert to fraction form
    75,363/119,962.88 = 119,962.88/x
  3. Step 3: Cross multiply
    75,363x = 119,962.88 × 119,962.88
  4. Step 4: Simplify right side
    75,363x = 14,391,091,378.27
  5. Step 5: Solve for x
    x = 14,391,091,378.27/75,363
  6. Step 6: Final answer
    x = 190,956.99

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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.