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Finding the Third Proportional to 70,693.07 and 148,656.20

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Solution

The third proportional to 70,693.07 and 148,656.20 is: 312,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,693.07 : 148,656.20 = 148,656.20 : x
  2. Step 2: Convert to fraction form
    70,693.07/148,656.20 = 148,656.20/x
  3. Step 3: Cross multiply
    70,693.07x = 148,656.20 × 148,656.20
  4. Step 4: Simplify right side
    70,693.07x = 22,098,665,566.16
  5. Step 5: Solve for x
    x = 22,098,665,566.16/70,693.07
  6. Step 6: Final answer
    x = 312,600.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.