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Finding the Third Proportional to 60,276 and 130,587

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Solution

The third proportional to 60,276 and 130,587 is: 282,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,276 : 130,587 = 130,587 : x
  2. Step 2: Convert to fraction form
    60,276/130,587 = 130,587/x
  3. Step 3: Cross multiply
    60,276x = 130,587 × 130,587
  4. Step 4: Simplify right side
    60,276x = 17,052,964,569
  5. Step 5: Solve for x
    x = 17,052,964,569/60,276
  6. Step 6: Final answer
    x = 282,914.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.