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Finding the Third Proportional to 97,020 and 212,076

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Solution

The third proportional to 97,020 and 212,076 is: 463,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,020 : 212,076 = 212,076 : x
  2. Step 2: Convert to fraction form
    97,020/212,076 = 212,076/x
  3. Step 3: Cross multiply
    97,020x = 212,076 × 212,076
  4. Step 4: Simplify right side
    97,020x = 44,976,229,776
  5. Step 5: Solve for x
    x = 44,976,229,776/97,020
  6. Step 6: Final answer
    x = 463,576.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.