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Finding the Third Proportional to 74,998 and 105,493.50

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Solution

The third proportional to 74,998 and 105,493.50 is: 148,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,998 : 105,493.50 = 105,493.50 : x
  2. Step 2: Convert to fraction form
    74,998/105,493.50 = 105,493.50/x
  3. Step 3: Cross multiply
    74,998x = 105,493.50 × 105,493.50
  4. Step 4: Simplify right side
    74,998x = 11,128,878,542.25
  5. Step 5: Solve for x
    x = 11,128,878,542.25/74,998
  6. Step 6: Final answer
    x = 148,389.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.