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Finding the Third Proportional to 64,935 and 97,827.75

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Solution

The third proportional to 64,935 and 97,827.75 is: 147,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935 : 97,827.75 = 97,827.75 : x
  2. Step 2: Convert to fraction form
    64,935/97,827.75 = 97,827.75/x
  3. Step 3: Cross multiply
    64,935x = 97,827.75 × 97,827.75
  4. Step 4: Simplify right side
    64,935x = 9,570,268,670.06
  5. Step 5: Solve for x
    x = 9,570,268,670.06/64,935
  6. Step 6: Final answer
    x = 147,382.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.