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Finding the Third Proportional to 53,091 and 114,482.25

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Solution

The third proportional to 53,091 and 114,482.25 is: 246,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,091 : 114,482.25 = 114,482.25 : x
  2. Step 2: Convert to fraction form
    53,091/114,482.25 = 114,482.25/x
  3. Step 3: Cross multiply
    53,091x = 114,482.25 × 114,482.25
  4. Step 4: Simplify right side
    53,091x = 13,106,185,565.06
  5. Step 5: Solve for x
    x = 13,106,185,565.06/53,091
  6. Step 6: Final answer
    x = 246,862.66

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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.