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Finding the Third Proportional to 70,412.63 and 156,567.75

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Solution

The third proportional to 70,412.63 and 156,567.75 is: 348,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,412.63 : 156,567.75 = 156,567.75 : x
  2. Step 2: Convert to fraction form
    70,412.63/156,567.75 = 156,567.75/x
  3. Step 3: Cross multiply
    70,412.63x = 156,567.75 × 156,567.75
  4. Step 4: Simplify right side
    70,412.63x = 24,513,460,340.06
  5. Step 5: Solve for x
    x = 24,513,460,340.06/70,412.63
  6. Step 6: Final answer
    x = 348,140.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.