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Finding the Third Proportional to 134,925.75 and 201,659.63

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Solution

The third proportional to 134,925.75 and 201,659.63 is: 301,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,925.75 : 201,659.63 = 201,659.63 : x
  2. Step 2: Convert to fraction form
    134,925.75/201,659.63 = 201,659.63/x
  3. Step 3: Cross multiply
    134,925.75x = 201,659.63 × 201,659.63
  4. Step 4: Simplify right side
    134,925.75x = 40,666,604,355.14
  5. Step 5: Solve for x
    x = 40,666,604,355.14/134,925.75
  6. Step 6: Final answer
    x = 301,399.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.