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Finding the Third Proportional to 70,026.63 and 105,873.63

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Solution

The third proportional to 70,026.63 and 105,873.63 is: 160,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,026.63 : 105,873.63 = 105,873.63 : x
  2. Step 2: Convert to fraction form
    70,026.63/105,873.63 = 105,873.63/x
  3. Step 3: Cross multiply
    70,026.63x = 105,873.63 × 105,873.63
  4. Step 4: Simplify right side
    70,026.63x = 11,209,224,470.64
  5. Step 5: Solve for x
    x = 11,209,224,470.64/70,026.63
  6. Step 6: Final answer
    x = 160,070.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.