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Finding the Third Proportional to 83,310 and 118,732.50

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Solution

The third proportional to 83,310 and 118,732.50 is: 169,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,310 : 118,732.50 = 118,732.50 : x
  2. Step 2: Convert to fraction form
    83,310/118,732.50 = 118,732.50/x
  3. Step 3: Cross multiply
    83,310x = 118,732.50 × 118,732.50
  4. Step 4: Simplify right side
    83,310x = 14,097,406,556.25
  5. Step 5: Solve for x
    x = 14,097,406,556.25/83,310
  6. Step 6: Final answer
    x = 169,216.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.