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Finding the Third Proportional to 70,200.42 and 105,266.46

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Solution

The third proportional to 70,200.42 and 105,266.46 is: 157,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200.42 : 105,266.46 = 105,266.46 : x
  2. Step 2: Convert to fraction form
    70,200.42/105,266.46 = 105,266.46/x
  3. Step 3: Cross multiply
    70,200.42x = 105,266.46 × 105,266.46
  4. Step 4: Simplify right side
    70,200.42x = 11,081,027,798.31
  5. Step 5: Solve for x
    x = 11,081,027,798.31/70,200.42
  6. Step 6: Final answer
    x = 157,848.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.