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Finding the Third Proportional to 119,031.19 and 161,476.88

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Solution

The third proportional to 119,031.19 and 161,476.88 is: 219,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,031.19 : 161,476.88 = 161,476.88 : x
  2. Step 2: Convert to fraction form
    119,031.19/161,476.88 = 161,476.88/x
  3. Step 3: Cross multiply
    119,031.19x = 161,476.88 × 161,476.88
  4. Step 4: Simplify right side
    119,031.19x = 26,074,781,159.77
  5. Step 5: Solve for x
    x = 26,074,781,159.77/119,031.19
  6. Step 6: Final answer
    x = 219,058.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.