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Finding the Third Proportional to 93,776 and 133,998

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Solution

The third proportional to 93,776 and 133,998 is: 191,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,776 : 133,998 = 133,998 : x
  2. Step 2: Convert to fraction form
    93,776/133,998 = 133,998/x
  3. Step 3: Cross multiply
    93,776x = 133,998 × 133,998
  4. Step 4: Simplify right side
    93,776x = 17,955,464,004
  5. Step 5: Solve for x
    x = 17,955,464,004/93,776
  6. Step 6: Final answer
    x = 191,471.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.