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Finding the Third Proportional to 97,034 and 154,300

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Solution

The third proportional to 97,034 and 154,300 is: 245,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,034 : 154,300 = 154,300 : x
  2. Step 2: Convert to fraction form
    97,034/154,300 = 154,300/x
  3. Step 3: Cross multiply
    97,034x = 154,300 × 154,300
  4. Step 4: Simplify right side
    97,034x = 23,808,490,000
  5. Step 5: Solve for x
    x = 23,808,490,000/97,034
  6. Step 6: Final answer
    x = 245,362.35

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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.