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Finding the Third Proportional to 74,776 and 114,935

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Solution

The third proportional to 74,776 and 114,935 is: 176,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,776 : 114,935 = 114,935 : x
  2. Step 2: Convert to fraction form
    74,776/114,935 = 114,935/x
  3. Step 3: Cross multiply
    74,776x = 114,935 × 114,935
  4. Step 4: Simplify right side
    74,776x = 13,210,054,225
  5. Step 5: Solve for x
    x = 13,210,054,225/74,776
  6. Step 6: Final answer
    x = 176,661.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.