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Finding the Third Proportional to 135,243 and 207,427.50

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Solution

The third proportional to 135,243 and 207,427.50 is: 318,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243 : 207,427.50 = 207,427.50 : x
  2. Step 2: Convert to fraction form
    135,243/207,427.50 = 207,427.50/x
  3. Step 3: Cross multiply
    135,243x = 207,427.50 × 207,427.50
  4. Step 4: Simplify right side
    135,243x = 43,026,167,756.25
  5. Step 5: Solve for x
    x = 43,026,167,756.25/135,243
  6. Step 6: Final answer
    x = 318,139.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.