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Finding the Third Proportional to 64,110 and 148,403.50

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Solution

The third proportional to 64,110 and 148,403.50 is: 343,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,110 : 148,403.50 = 148,403.50 : x
  2. Step 2: Convert to fraction form
    64,110/148,403.50 = 148,403.50/x
  3. Step 3: Cross multiply
    64,110x = 148,403.50 × 148,403.50
  4. Step 4: Simplify right side
    64,110x = 22,023,598,812.25
  5. Step 5: Solve for x
    x = 22,023,598,812.25/64,110
  6. Step 6: Final answer
    x = 343,528.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.