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Finding the Third Proportional to 42,109.50 and 92,139

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Solution

The third proportional to 42,109.50 and 92,139 is: 201,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,109.50 : 92,139 = 92,139 : x
  2. Step 2: Convert to fraction form
    42,109.50/92,139 = 92,139/x
  3. Step 3: Cross multiply
    42,109.50x = 92,139 × 92,139
  4. Step 4: Simplify right side
    42,109.50x = 8,489,595,321
  5. Step 5: Solve for x
    x = 8,489,595,321/42,109.50
  6. Step 6: Final answer
    x = 201,607.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.