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Finding the Third Proportional to 46,894 and 97,073

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Solution

The third proportional to 46,894 and 97,073 is: 200,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,894 : 97,073 = 97,073 : x
  2. Step 2: Convert to fraction form
    46,894/97,073 = 97,073/x
  3. Step 3: Cross multiply
    46,894x = 97,073 × 97,073
  4. Step 4: Simplify right side
    46,894x = 9,423,167,329
  5. Step 5: Solve for x
    x = 9,423,167,329/46,894
  6. Step 6: Final answer
    x = 200,946.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.