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Finding the Third Proportional to 97,060 and 205,784

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Solution

The third proportional to 97,060 and 205,784 is: 436,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,060 : 205,784 = 205,784 : x
  2. Step 2: Convert to fraction form
    97,060/205,784 = 205,784/x
  3. Step 3: Cross multiply
    97,060x = 205,784 × 205,784
  4. Step 4: Simplify right side
    97,060x = 42,347,054,656
  5. Step 5: Solve for x
    x = 42,347,054,656/97,060
  6. Step 6: Final answer
    x = 436,297.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.