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Finding the Third Proportional to 82,598.63 and 119,248.88

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Solution

The third proportional to 82,598.63 and 119,248.88 is: 172,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,598.63 : 119,248.88 = 119,248.88 : x
  2. Step 2: Convert to fraction form
    82,598.63/119,248.88 = 119,248.88/x
  3. Step 3: Cross multiply
    82,598.63x = 119,248.88 × 119,248.88
  4. Step 4: Simplify right side
    82,598.63x = 14,220,294,188.77
  5. Step 5: Solve for x
    x = 14,220,294,188.77/82,598.63
  6. Step 6: Final answer
    x = 172,161.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.