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Finding the Third Proportional to 65,391 and 97,828.50

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Solution

The third proportional to 65,391 and 97,828.50 is: 146,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,391 : 97,828.50 = 97,828.50 : x
  2. Step 2: Convert to fraction form
    65,391/97,828.50 = 97,828.50/x
  3. Step 3: Cross multiply
    65,391x = 97,828.50 × 97,828.50
  4. Step 4: Simplify right side
    65,391x = 9,570,415,412.25
  5. Step 5: Solve for x
    x = 9,570,415,412.25/65,391
  6. Step 6: Final answer
    x = 146,356.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.