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Finding the Third Proportional to 111,045 and 145,792.50

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Solution

The third proportional to 111,045 and 145,792.50 is: 191,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,045 : 145,792.50 = 145,792.50 : x
  2. Step 2: Convert to fraction form
    111,045/145,792.50 = 145,792.50/x
  3. Step 3: Cross multiply
    111,045x = 145,792.50 × 145,792.50
  4. Step 4: Simplify right side
    111,045x = 21,255,453,056.25
  5. Step 5: Solve for x
    x = 21,255,453,056.25/111,045
  6. Step 6: Final answer
    x = 191,412.97

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.