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Finding the Third Proportional to 66,339 and 97,564.50

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Solution

The third proportional to 66,339 and 97,564.50 is: 143,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,339 : 97,564.50 = 97,564.50 : x
  2. Step 2: Convert to fraction form
    66,339/97,564.50 = 97,564.50/x
  3. Step 3: Cross multiply
    66,339x = 97,564.50 × 97,564.50
  4. Step 4: Simplify right side
    66,339x = 9,518,831,660.25
  5. Step 5: Solve for x
    x = 9,518,831,660.25/66,339
  6. Step 6: Final answer
    x = 143,487.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.