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Finding the Third Proportional to 97,478 and 212,572

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Solution

The third proportional to 97,478 and 212,572 is: 463,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478 : 212,572 = 212,572 : x
  2. Step 2: Convert to fraction form
    97,478/212,572 = 212,572/x
  3. Step 3: Cross multiply
    97,478x = 212,572 × 212,572
  4. Step 4: Simplify right side
    97,478x = 45,186,855,184
  5. Step 5: Solve for x
    x = 45,186,855,184/97,478
  6. Step 6: Final answer
    x = 463,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.