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Finding the Third Proportional to 85,051.13 and 125,116.31

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Solution

The third proportional to 85,051.13 and 125,116.31 is: 184,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,051.13 : 125,116.31 = 125,116.31 : x
  2. Step 2: Convert to fraction form
    85,051.13/125,116.31 = 125,116.31/x
  3. Step 3: Cross multiply
    85,051.13x = 125,116.31 × 125,116.31
  4. Step 4: Simplify right side
    85,051.13x = 15,654,091,653.60
  5. Step 5: Solve for x
    x = 15,654,091,653.60/85,051.13
  6. Step 6: Final answer
    x = 184,055.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.