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Finding the Third Proportional to 64,026.75 and 138,312

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Solution

The third proportional to 64,026.75 and 138,312 is: 298,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,026.75 : 138,312 = 138,312 : x
  2. Step 2: Convert to fraction form
    64,026.75/138,312 = 138,312/x
  3. Step 3: Cross multiply
    64,026.75x = 138,312 × 138,312
  4. Step 4: Simplify right side
    64,026.75x = 19,130,209,344
  5. Step 5: Solve for x
    x = 19,130,209,344/64,026.75
  6. Step 6: Final answer
    x = 298,784.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.