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Finding the Third Proportional to 97,300.50 and 124,327.50

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Solution

The third proportional to 97,300.50 and 124,327.50 is: 158,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300.50 : 124,327.50 = 124,327.50 : x
  2. Step 2: Convert to fraction form
    97,300.50/124,327.50 = 124,327.50/x
  3. Step 3: Cross multiply
    97,300.50x = 124,327.50 × 124,327.50
  4. Step 4: Simplify right side
    97,300.50x = 15,457,327,256.25
  5. Step 5: Solve for x
    x = 15,457,327,256.25/97,300.50
  6. Step 6: Final answer
    x = 158,861.75

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.