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Finding the Third Proportional to 45,468 and 70,146

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Solution

The third proportional to 45,468 and 70,146 is: 108,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468 : 70,146 = 70,146 : x
  2. Step 2: Convert to fraction form
    45,468/70,146 = 70,146/x
  3. Step 3: Cross multiply
    45,468x = 70,146 × 70,146
  4. Step 4: Simplify right side
    45,468x = 4,920,461,316
  5. Step 5: Solve for x
    x = 4,920,461,316/45,468
  6. Step 6: Final answer
    x = 108,218.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.