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Finding the Third Proportional to 64,212.19 and 102,264.19

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Solution

The third proportional to 64,212.19 and 102,264.19 is: 162,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212.19 : 102,264.19 = 102,264.19 : x
  2. Step 2: Convert to fraction form
    64,212.19/102,264.19 = 102,264.19/x
  3. Step 3: Cross multiply
    64,212.19x = 102,264.19 × 102,264.19
  4. Step 4: Simplify right side
    64,212.19x = 10,457,964,045.04
  5. Step 5: Solve for x
    x = 10,457,964,045.04/64,212.19
  6. Step 6: Final answer
    x = 162,865.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.