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Finding the Third Proportional to 61,020 and 131,403

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Solution

The third proportional to 61,020 and 131,403 is: 282,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,020 : 131,403 = 131,403 : x
  2. Step 2: Convert to fraction form
    61,020/131,403 = 131,403/x
  3. Step 3: Cross multiply
    61,020x = 131,403 × 131,403
  4. Step 4: Simplify right side
    61,020x = 17,266,748,409
  5. Step 5: Solve for x
    x = 17,266,748,409/61,020
  6. Step 6: Final answer
    x = 282,968.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.