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Finding the Third Proportional to 105,266.60 and 161,804.04

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Solution

The third proportional to 105,266.60 and 161,804.04 is: 248,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.60 : 161,804.04 = 161,804.04 : x
  2. Step 2: Convert to fraction form
    105,266.60/161,804.04 = 161,804.04/x
  3. Step 3: Cross multiply
    105,266.60x = 161,804.04 × 161,804.04
  4. Step 4: Simplify right side
    105,266.60x = 26,180,547,056.94
  5. Step 5: Solve for x
    x = 26,180,547,056.94/105,266.60
  6. Step 6: Final answer
    x = 248,707.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.