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Finding the Third Proportional to 98,713.50 and 158,970

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Solution

The third proportional to 98,713.50 and 158,970 is: 256,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713.50 : 158,970 = 158,970 : x
  2. Step 2: Convert to fraction form
    98,713.50/158,970 = 158,970/x
  3. Step 3: Cross multiply
    98,713.50x = 158,970 × 158,970
  4. Step 4: Simplify right side
    98,713.50x = 25,271,460,900
  5. Step 5: Solve for x
    x = 25,271,460,900/98,713.50
  6. Step 6: Final answer
    x = 256,008.15

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.