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Finding the Third Proportional to 58,224 and 89,688

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Solution

The third proportional to 58,224 and 89,688 is: 138,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,224 : 89,688 = 89,688 : x
  2. Step 2: Convert to fraction form
    58,224/89,688 = 89,688/x
  3. Step 3: Cross multiply
    58,224x = 89,688 × 89,688
  4. Step 4: Simplify right side
    58,224x = 8,043,937,344
  5. Step 5: Solve for x
    x = 8,043,937,344/58,224
  6. Step 6: Final answer
    x = 138,155.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.