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Finding the Third Proportional to 64,298.81 and 136,890

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Solution

The third proportional to 64,298.81 and 136,890 is: 291,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,298.81 : 136,890 = 136,890 : x
  2. Step 2: Convert to fraction form
    64,298.81/136,890 = 136,890/x
  3. Step 3: Cross multiply
    64,298.81x = 136,890 × 136,890
  4. Step 4: Simplify right side
    64,298.81x = 18,738,872,100
  5. Step 5: Solve for x
    x = 18,738,872,100/64,298.81
  6. Step 6: Final answer
    x = 291,434.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.