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Finding the Third Proportional to 56,013 and 88,737

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Solution

The third proportional to 56,013 and 88,737 is: 140,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,013 : 88,737 = 88,737 : x
  2. Step 2: Convert to fraction form
    56,013/88,737 = 88,737/x
  3. Step 3: Cross multiply
    56,013x = 88,737 × 88,737
  4. Step 4: Simplify right side
    56,013x = 7,874,255,169
  5. Step 5: Solve for x
    x = 7,874,255,169/56,013
  6. Step 6: Final answer
    x = 140,579.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.