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Finding the Third Proportional to 62,142 and 97,211.50

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Solution

The third proportional to 62,142 and 97,211.50 is: 152,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,142 : 97,211.50 = 97,211.50 : x
  2. Step 2: Convert to fraction form
    62,142/97,211.50 = 97,211.50/x
  3. Step 3: Cross multiply
    62,142x = 97,211.50 × 97,211.50
  4. Step 4: Simplify right side
    62,142x = 9,450,075,732.25
  5. Step 5: Solve for x
    x = 9,450,075,732.25/62,142
  6. Step 6: Final answer
    x = 152,072.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.