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Finding the Third Proportional to 125,904.38 and 190,071.56

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Solution

The third proportional to 125,904.38 and 190,071.56 is: 286,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,904.38 : 190,071.56 = 190,071.56 : x
  2. Step 2: Convert to fraction form
    125,904.38/190,071.56 = 190,071.56/x
  3. Step 3: Cross multiply
    125,904.38x = 190,071.56 × 190,071.56
  4. Step 4: Simplify right side
    125,904.38x = 36,127,198,871.19
  5. Step 5: Solve for x
    x = 36,127,198,871.19/125,904.38
  6. Step 6: Final answer
    x = 286,941.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.