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Finding the Third Proportional to 64,326 and 98,985

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Solution

The third proportional to 64,326 and 98,985 is: 152,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,326 : 98,985 = 98,985 : x
  2. Step 2: Convert to fraction form
    64,326/98,985 = 98,985/x
  3. Step 3: Cross multiply
    64,326x = 98,985 × 98,985
  4. Step 4: Simplify right side
    64,326x = 9,798,030,225
  5. Step 5: Solve for x
    x = 9,798,030,225/64,326
  6. Step 6: Final answer
    x = 152,318.35

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