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Finding the Third Proportional to 93,637 and 136,948

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Solution

The third proportional to 93,637 and 136,948 is: 200,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,637 : 136,948 = 136,948 : x
  2. Step 2: Convert to fraction form
    93,637/136,948 = 136,948/x
  3. Step 3: Cross multiply
    93,637x = 136,948 × 136,948
  4. Step 4: Simplify right side
    93,637x = 18,754,754,704
  5. Step 5: Solve for x
    x = 18,754,754,704/93,637
  6. Step 6: Final answer
    x = 200,292.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.