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Finding the Third Proportional to 64,308 and 100,143

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Solution

The third proportional to 64,308 and 100,143 is: 155,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308 : 100,143 = 100,143 : x
  2. Step 2: Convert to fraction form
    64,308/100,143 = 100,143/x
  3. Step 3: Cross multiply
    64,308x = 100,143 × 100,143
  4. Step 4: Simplify right side
    64,308x = 10,028,620,449
  5. Step 5: Solve for x
    x = 10,028,620,449/64,308
  6. Step 6: Final answer
    x = 155,946.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.