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Finding the Third Proportional to 79,114.13 and 105,683.06

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Solution

The third proportional to 79,114.13 and 105,683.06 is: 141,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,114.13 : 105,683.06 = 105,683.06 : x
  2. Step 2: Convert to fraction form
    79,114.13/105,683.06 = 105,683.06/x
  3. Step 3: Cross multiply
    79,114.13x = 105,683.06 × 105,683.06
  4. Step 4: Simplify right side
    79,114.13x = 11,168,909,699.38
  5. Step 5: Solve for x
    x = 11,168,909,699.38/79,114.13
  6. Step 6: Final answer
    x = 141,174.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.