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Finding the Third Proportional to 98,882 and 157,214.50

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Solution

The third proportional to 98,882 and 157,214.50 is: 249,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882 : 157,214.50 = 157,214.50 : x
  2. Step 2: Convert to fraction form
    98,882/157,214.50 = 157,214.50/x
  3. Step 3: Cross multiply
    98,882x = 157,214.50 × 157,214.50
  4. Step 4: Simplify right side
    98,882x = 24,716,399,010.25
  5. Step 5: Solve for x
    x = 24,716,399,010.25/98,882
  6. Step 6: Final answer
    x = 249,958.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.