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Finding the Third Proportional to 64,246 and 102,210

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Solution

The third proportional to 64,246 and 102,210 is: 162,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,246 : 102,210 = 102,210 : x
  2. Step 2: Convert to fraction form
    64,246/102,210 = 102,210/x
  3. Step 3: Cross multiply
    64,246x = 102,210 × 102,210
  4. Step 4: Simplify right side
    64,246x = 10,446,884,100
  5. Step 5: Solve for x
    x = 10,446,884,100/64,246
  6. Step 6: Final answer
    x = 162,607.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.