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Finding the Third Proportional to 52,537.50 and 114,005.63

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Solution

The third proportional to 52,537.50 and 114,005.63 is: 247,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537.50 : 114,005.63 = 114,005.63 : x
  2. Step 2: Convert to fraction form
    52,537.50/114,005.63 = 114,005.63/x
  3. Step 3: Cross multiply
    52,537.50x = 114,005.63 × 114,005.63
  4. Step 4: Simplify right side
    52,537.50x = 12,997,282,531.64
  5. Step 5: Solve for x
    x = 12,997,282,531.64/52,537.50
  6. Step 6: Final answer
    x = 247,390.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.