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Finding the Third Proportional to 75,160 and 98,852

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Solution

The third proportional to 75,160 and 98,852 is: 130,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,160 : 98,852 = 98,852 : x
  2. Step 2: Convert to fraction form
    75,160/98,852 = 98,852/x
  3. Step 3: Cross multiply
    75,160x = 98,852 × 98,852
  4. Step 4: Simplify right side
    75,160x = 9,771,717,904
  5. Step 5: Solve for x
    x = 9,771,717,904/75,160
  6. Step 6: Final answer
    x = 130,012.21

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.