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Finding the Third Proportional to 64,176 and 142,572

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Solution

The third proportional to 64,176 and 142,572 is: 316,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176 : 142,572 = 142,572 : x
  2. Step 2: Convert to fraction form
    64,176/142,572 = 142,572/x
  3. Step 3: Cross multiply
    64,176x = 142,572 × 142,572
  4. Step 4: Simplify right side
    64,176x = 20,326,775,184
  5. Step 5: Solve for x
    x = 20,326,775,184/64,176
  6. Step 6: Final answer
    x = 316,734.84

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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.