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Finding the Third Proportional to 64,575 and 98,228.25

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Solution

The third proportional to 64,575 and 98,228.25 is: 149,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,575 : 98,228.25 = 98,228.25 : x
  2. Step 2: Convert to fraction form
    64,575/98,228.25 = 98,228.25/x
  3. Step 3: Cross multiply
    64,575x = 98,228.25 × 98,228.25
  4. Step 4: Simplify right side
    64,575x = 9,648,789,098.06
  5. Step 5: Solve for x
    x = 9,648,789,098.06/64,575
  6. Step 6: Final answer
    x = 149,419.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.