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Finding the Third Proportional to 66,531 and 97,851.50

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Solution

The third proportional to 66,531 and 97,851.50 is: 143,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,531 : 97,851.50 = 97,851.50 : x
  2. Step 2: Convert to fraction form
    66,531/97,851.50 = 97,851.50/x
  3. Step 3: Cross multiply
    66,531x = 97,851.50 × 97,851.50
  4. Step 4: Simplify right side
    66,531x = 9,574,916,052.25
  5. Step 5: Solve for x
    x = 9,574,916,052.25/66,531
  6. Step 6: Final answer
    x = 143,916.61

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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.