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Finding the Third Proportional to 61,056.50 and 133,309

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Solution

The third proportional to 61,056.50 and 133,309 is: 291,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,056.50 : 133,309 = 133,309 : x
  2. Step 2: Convert to fraction form
    61,056.50/133,309 = 133,309/x
  3. Step 3: Cross multiply
    61,056.50x = 133,309 × 133,309
  4. Step 4: Simplify right side
    61,056.50x = 17,771,289,481
  5. Step 5: Solve for x
    x = 17,771,289,481/61,056.50
  6. Step 6: Final answer
    x = 291,063.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.