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Finding the Third Proportional to 46,752 and 70,116

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Solution

The third proportional to 46,752 and 70,116 is: 105,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752 : 70,116 = 70,116 : x
  2. Step 2: Convert to fraction form
    46,752/70,116 = 70,116/x
  3. Step 3: Cross multiply
    46,752x = 70,116 × 70,116
  4. Step 4: Simplify right side
    46,752x = 4,916,253,456
  5. Step 5: Solve for x
    x = 4,916,253,456/46,752
  6. Step 6: Final answer
    x = 105,156.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.