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Finding the Third Proportional to 58,584 and 130,280

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Solution

The third proportional to 58,584 and 130,280 is: 289,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,584 : 130,280 = 130,280 : x
  2. Step 2: Convert to fraction form
    58,584/130,280 = 130,280/x
  3. Step 3: Cross multiply
    58,584x = 130,280 × 130,280
  4. Step 4: Simplify right side
    58,584x = 16,972,878,400
  5. Step 5: Solve for x
    x = 16,972,878,400/58,584
  6. Step 6: Final answer
    x = 289,718.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.