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Finding the Third Proportional to 112,998 and 153,465.50

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Solution

The third proportional to 112,998 and 153,465.50 is: 208,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,998 : 153,465.50 = 153,465.50 : x
  2. Step 2: Convert to fraction form
    112,998/153,465.50 = 153,465.50/x
  3. Step 3: Cross multiply
    112,998x = 153,465.50 × 153,465.50
  4. Step 4: Simplify right side
    112,998x = 23,551,659,690.25
  5. Step 5: Solve for x
    x = 23,551,659,690.25/112,998
  6. Step 6: Final answer
    x = 208,425.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.