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Finding the Third Proportional to 64,541.81 and 138,423.94

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Solution

The third proportional to 64,541.81 and 138,423.94 is: 296,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,541.81 : 138,423.94 = 138,423.94 : x
  2. Step 2: Convert to fraction form
    64,541.81/138,423.94 = 138,423.94/x
  3. Step 3: Cross multiply
    64,541.81x = 138,423.94 × 138,423.94
  4. Step 4: Simplify right side
    64,541.81x = 19,161,186,473.00
  5. Step 5: Solve for x
    x = 19,161,186,473.00/64,541.81
  6. Step 6: Final answer
    x = 296,880.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.