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Finding the Third Proportional to 98,709 and 145,881

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Solution

The third proportional to 98,709 and 145,881 is: 215,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709 : 145,881 = 145,881 : x
  2. Step 2: Convert to fraction form
    98,709/145,881 = 145,881/x
  3. Step 3: Cross multiply
    98,709x = 145,881 × 145,881
  4. Step 4: Simplify right side
    98,709x = 21,281,266,161
  5. Step 5: Solve for x
    x = 21,281,266,161/98,709
  6. Step 6: Final answer
    x = 215,596.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.