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Finding the Third Proportional to 109,101 and 160,054.50

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Solution

The third proportional to 109,101 and 160,054.50 is: 234,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,101 : 160,054.50 = 160,054.50 : x
  2. Step 2: Convert to fraction form
    109,101/160,054.50 = 160,054.50/x
  3. Step 3: Cross multiply
    109,101x = 160,054.50 × 160,054.50
  4. Step 4: Simplify right side
    109,101x = 25,617,442,970.25
  5. Step 5: Solve for x
    x = 25,617,442,970.25/109,101
  6. Step 6: Final answer
    x = 234,804.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.