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Finding the Third Proportional to 67,070 and 99,030

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Solution

The third proportional to 67,070 and 99,030 is: 146,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,070 : 99,030 = 99,030 : x
  2. Step 2: Convert to fraction form
    67,070/99,030 = 99,030/x
  3. Step 3: Cross multiply
    67,070x = 99,030 × 99,030
  4. Step 4: Simplify right side
    67,070x = 9,806,940,900
  5. Step 5: Solve for x
    x = 9,806,940,900/67,070
  6. Step 6: Final answer
    x = 146,219.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.