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Finding the Third Proportional to 77,931 and 114,300

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Solution

The third proportional to 77,931 and 114,300 is: 167,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,931 : 114,300 = 114,300 : x
  2. Step 2: Convert to fraction form
    77,931/114,300 = 114,300/x
  3. Step 3: Cross multiply
    77,931x = 114,300 × 114,300
  4. Step 4: Simplify right side
    77,931x = 13,064,490,000
  5. Step 5: Solve for x
    x = 13,064,490,000/77,931
  6. Step 6: Final answer
    x = 167,641.76

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