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Finding the Third Proportional to 42,657 and 99,652.50

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Solution

The third proportional to 42,657 and 99,652.50 is: 232,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,657 : 99,652.50 = 99,652.50 : x
  2. Step 2: Convert to fraction form
    42,657/99,652.50 = 99,652.50/x
  3. Step 3: Cross multiply
    42,657x = 99,652.50 × 99,652.50
  4. Step 4: Simplify right side
    42,657x = 9,930,620,756.25
  5. Step 5: Solve for x
    x = 9,930,620,756.25/42,657
  6. Step 6: Final answer
    x = 232,801.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.