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Finding the Third Proportional to 64,085.81 and 138,032.63

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Solution

The third proportional to 64,085.81 and 138,032.63 is: 297,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,085.81 : 138,032.63 = 138,032.63 : x
  2. Step 2: Convert to fraction form
    64,085.81/138,032.63 = 138,032.63/x
  3. Step 3: Cross multiply
    64,085.81x = 138,032.63 × 138,032.63
  4. Step 4: Simplify right side
    64,085.81x = 19,053,005,564.39
  5. Step 5: Solve for x
    x = 19,053,005,564.39/64,085.81
  6. Step 6: Final answer
    x = 297,304.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.