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Finding the Third Proportional to 103,550.63 and 163,670.63

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Solution

The third proportional to 103,550.63 and 163,670.63 is: 258,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,550.63 : 163,670.63 = 163,670.63 : x
  2. Step 2: Convert to fraction form
    103,550.63/163,670.63 = 163,670.63/x
  3. Step 3: Cross multiply
    103,550.63x = 163,670.63 × 163,670.63
  4. Step 4: Simplify right side
    103,550.63x = 26,788,073,487.89
  5. Step 5: Solve for x
    x = 26,788,073,487.89/103,550.63
  6. Step 6: Final answer
    x = 258,695.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.