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Finding the Third Proportional to 98,635 and 139,566

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Solution

The third proportional to 98,635 and 139,566 is: 197,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,635 : 139,566 = 139,566 : x
  2. Step 2: Convert to fraction form
    98,635/139,566 = 139,566/x
  3. Step 3: Cross multiply
    98,635x = 139,566 × 139,566
  4. Step 4: Simplify right side
    98,635x = 19,478,668,356
  5. Step 5: Solve for x
    x = 19,478,668,356/98,635
  6. Step 6: Final answer
    x = 197,482.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.