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Finding the Third Proportional to 65,308.50 and 97,709.63

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Solution

The third proportional to 65,308.50 and 97,709.63 is: 146,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308.50 : 97,709.63 = 97,709.63 : x
  2. Step 2: Convert to fraction form
    65,308.50/97,709.63 = 97,709.63/x
  3. Step 3: Cross multiply
    65,308.50x = 97,709.63 × 97,709.63
  4. Step 4: Simplify right side
    65,308.50x = 9,547,170,817.64
  5. Step 5: Solve for x
    x = 9,547,170,817.64/65,308.50
  6. Step 6: Final answer
    x = 146,185.73

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