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Finding the Third Proportional to 93,972 and 137,430

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Solution

The third proportional to 93,972 and 137,430 is: 200,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,972 : 137,430 = 137,430 : x
  2. Step 2: Convert to fraction form
    93,972/137,430 = 137,430/x
  3. Step 3: Cross multiply
    93,972x = 137,430 × 137,430
  4. Step 4: Simplify right side
    93,972x = 18,887,004,900
  5. Step 5: Solve for x
    x = 18,887,004,900/93,972
  6. Step 6: Final answer
    x = 200,985.45

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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.