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Finding the Third Proportional to 105,000.68 and 161,484.89

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Solution

The third proportional to 105,000.68 and 161,484.89 is: 248,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,000.68 : 161,484.89 = 161,484.89 : x
  2. Step 2: Convert to fraction form
    105,000.68/161,484.89 = 161,484.89/x
  3. Step 3: Cross multiply
    105,000.68x = 161,484.89 × 161,484.89
  4. Step 4: Simplify right side
    105,000.68x = 26,077,369,900.17
  5. Step 5: Solve for x
    x = 26,077,369,900.17/105,000.68
  6. Step 6: Final answer
    x = 248,354.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.