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Finding the Third Proportional to 97,946 and 145,479

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Solution

The third proportional to 97,946 and 145,479 is: 216,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,946 : 145,479 = 145,479 : x
  2. Step 2: Convert to fraction form
    97,946/145,479 = 145,479/x
  3. Step 3: Cross multiply
    97,946x = 145,479 × 145,479
  4. Step 4: Simplify right side
    97,946x = 21,164,139,441
  5. Step 5: Solve for x
    x = 21,164,139,441/97,946
  6. Step 6: Final answer
    x = 216,079.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.