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Finding the Third Proportional to 70,421.25 and 145,762.50

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Solution

The third proportional to 70,421.25 and 145,762.50 is: 301,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,421.25 : 145,762.50 = 145,762.50 : x
  2. Step 2: Convert to fraction form
    70,421.25/145,762.50 = 145,762.50/x
  3. Step 3: Cross multiply
    70,421.25x = 145,762.50 × 145,762.50
  4. Step 4: Simplify right side
    70,421.25x = 21,246,706,406.25
  5. Step 5: Solve for x
    x = 21,246,706,406.25/70,421.25
  6. Step 6: Final answer
    x = 301,708.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.