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Finding the Third Proportional to 64,922.25 and 97,124.25

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Solution

The third proportional to 64,922.25 and 97,124.25 is: 145,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,922.25 : 97,124.25 = 97,124.25 : x
  2. Step 2: Convert to fraction form
    64,922.25/97,124.25 = 97,124.25/x
  3. Step 3: Cross multiply
    64,922.25x = 97,124.25 × 97,124.25
  4. Step 4: Simplify right side
    64,922.25x = 9,433,119,938.06
  5. Step 5: Solve for x
    x = 9,433,119,938.06/64,922.25
  6. Step 6: Final answer
    x = 145,298.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.