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Finding the Third Proportional to 61,123.50 and 97,259.63

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Solution

The third proportional to 61,123.50 and 97,259.63 is: 154,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,123.50 : 97,259.63 = 97,259.63 : x
  2. Step 2: Convert to fraction form
    61,123.50/97,259.63 = 97,259.63/x
  3. Step 3: Cross multiply
    61,123.50x = 97,259.63 × 97,259.63
  4. Step 4: Simplify right side
    61,123.50x = 9,459,434,655.14
  5. Step 5: Solve for x
    x = 9,459,434,655.14/61,123.50
  6. Step 6: Final answer
    x = 154,759.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.