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Finding the Third Proportional to 77,896 and 114,332

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Solution

The third proportional to 77,896 and 114,332 is: 167,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896 : 114,332 = 114,332 : x
  2. Step 2: Convert to fraction form
    77,896/114,332 = 114,332/x
  3. Step 3: Cross multiply
    77,896x = 114,332 × 114,332
  4. Step 4: Simplify right side
    77,896x = 13,071,806,224
  5. Step 5: Solve for x
    x = 13,071,806,224/77,896
  6. Step 6: Final answer
    x = 167,811.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.