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Finding the Third Proportional to 118,213 and 172,918.50

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Solution

The third proportional to 118,213 and 172,918.50 is: 252,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,213 : 172,918.50 = 172,918.50 : x
  2. Step 2: Convert to fraction form
    118,213/172,918.50 = 172,918.50/x
  3. Step 3: Cross multiply
    118,213x = 172,918.50 × 172,918.50
  4. Step 4: Simplify right side
    118,213x = 29,900,807,642.25
  5. Step 5: Solve for x
    x = 29,900,807,642.25/118,213
  6. Step 6: Final answer
    x = 252,940.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.