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Finding the Third Proportional to 64,970 and 95,206

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Solution

The third proportional to 64,970 and 95,206 is: 139,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970 : 95,206 = 95,206 : x
  2. Step 2: Convert to fraction form
    64,970/95,206 = 95,206/x
  3. Step 3: Cross multiply
    64,970x = 95,206 × 95,206
  4. Step 4: Simplify right side
    64,970x = 9,064,182,436
  5. Step 5: Solve for x
    x = 9,064,182,436/64,970
  6. Step 6: Final answer
    x = 139,513.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.