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Finding the Third Proportional to 85,748.63 and 127,985.06

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Solution

The third proportional to 85,748.63 and 127,985.06 is: 191,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,748.63 : 127,985.06 = 127,985.06 : x
  2. Step 2: Convert to fraction form
    85,748.63/127,985.06 = 127,985.06/x
  3. Step 3: Cross multiply
    85,748.63x = 127,985.06 × 127,985.06
  4. Step 4: Simplify right side
    85,748.63x = 16,380,176,223.13
  5. Step 5: Solve for x
    x = 16,380,176,223.13/85,748.63
  6. Step 6: Final answer
    x = 191,025.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.