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Finding the Third Proportional to 112,095 and 241,904.25

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Solution

The third proportional to 112,095 and 241,904.25 is: 522,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,095 : 241,904.25 = 241,904.25 : x
  2. Step 2: Convert to fraction form
    112,095/241,904.25 = 241,904.25/x
  3. Step 3: Cross multiply
    112,095x = 241,904.25 × 241,904.25
  4. Step 4: Simplify right side
    112,095x = 58,517,666,168.06
  5. Step 5: Solve for x
    x = 58,517,666,168.06/112,095
  6. Step 6: Final answer
    x = 522,036.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.