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Finding the Third Proportional to 64,271 and 138,409

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Solution

The third proportional to 64,271 and 138,409 is: 298,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,271 : 138,409 = 138,409 : x
  2. Step 2: Convert to fraction form
    64,271/138,409 = 138,409/x
  3. Step 3: Cross multiply
    64,271x = 138,409 × 138,409
  4. Step 4: Simplify right side
    64,271x = 19,157,051,281
  5. Step 5: Solve for x
    x = 19,157,051,281/64,271
  6. Step 6: Final answer
    x = 298,066.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.