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Finding the Third Proportional to 44,322.75 and 102,502.50

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Solution

The third proportional to 44,322.75 and 102,502.50 is: 237,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,322.75 : 102,502.50 = 102,502.50 : x
  2. Step 2: Convert to fraction form
    44,322.75/102,502.50 = 102,502.50/x
  3. Step 3: Cross multiply
    44,322.75x = 102,502.50 × 102,502.50
  4. Step 4: Simplify right side
    44,322.75x = 10,506,762,506.25
  5. Step 5: Solve for x
    x = 10,506,762,506.25/44,322.75
  6. Step 6: Final answer
    x = 237,051.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.