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Finding the Third Proportional to 121,143 and 282,967.50

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Solution

The third proportional to 121,143 and 282,967.50 is: 660,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,143 : 282,967.50 = 282,967.50 : x
  2. Step 2: Convert to fraction form
    121,143/282,967.50 = 282,967.50/x
  3. Step 3: Cross multiply
    121,143x = 282,967.50 × 282,967.50
  4. Step 4: Simplify right side
    121,143x = 80,070,606,056.25
  5. Step 5: Solve for x
    x = 80,070,606,056.25/121,143
  6. Step 6: Final answer
    x = 660,959.41

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.