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Finding the Third Proportional to 108,000.84 and 145,389.94

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Solution

The third proportional to 108,000.84 and 145,389.94 is: 195,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000.84 : 145,389.94 = 145,389.94 : x
  2. Step 2: Convert to fraction form
    108,000.84/145,389.94 = 145,389.94/x
  3. Step 3: Cross multiply
    108,000.84x = 145,389.94 × 145,389.94
  4. Step 4: Simplify right side
    108,000.84x = 21,138,233,926.25
  5. Step 5: Solve for x
    x = 21,138,233,926.25/108,000.84
  6. Step 6: Final answer
    x = 195,722.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.