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Finding the Third Proportional to 98,907 and 113,487

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Solution

The third proportional to 98,907 and 113,487 is: 130,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,907 : 113,487 = 113,487 : x
  2. Step 2: Convert to fraction form
    98,907/113,487 = 113,487/x
  3. Step 3: Cross multiply
    98,907x = 113,487 × 113,487
  4. Step 4: Simplify right side
    98,907x = 12,879,299,169
  5. Step 5: Solve for x
    x = 12,879,299,169/98,907
  6. Step 6: Final answer
    x = 130,216.26

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.