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Finding the Third Proportional to 98,732.25 and 141,088.50

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Solution

The third proportional to 98,732.25 and 141,088.50 is: 201,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732.25 : 141,088.50 = 141,088.50 : x
  2. Step 2: Convert to fraction form
    98,732.25/141,088.50 = 141,088.50/x
  3. Step 3: Cross multiply
    98,732.25x = 141,088.50 × 141,088.50
  4. Step 4: Simplify right side
    98,732.25x = 19,905,964,832.25
  5. Step 5: Solve for x
    x = 19,905,964,832.25/98,732.25
  6. Step 6: Final answer
    x = 201,615.63

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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.