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Finding the Third Proportional to 91,752 and 141,804.50

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Solution

The third proportional to 91,752 and 141,804.50 is: 219,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752 : 141,804.50 = 141,804.50 : x
  2. Step 2: Convert to fraction form
    91,752/141,804.50 = 141,804.50/x
  3. Step 3: Cross multiply
    91,752x = 141,804.50 × 141,804.50
  4. Step 4: Simplify right side
    91,752x = 20,108,516,220.25
  5. Step 5: Solve for x
    x = 20,108,516,220.25/91,752
  6. Step 6: Final answer
    x = 219,161.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.