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Finding the Third Proportional to 60,437 and 130,594

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Solution

The third proportional to 60,437 and 130,594 is: 282,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,437 : 130,594 = 130,594 : x
  2. Step 2: Convert to fraction form
    60,437/130,594 = 130,594/x
  3. Step 3: Cross multiply
    60,437x = 130,594 × 130,594
  4. Step 4: Simplify right side
    60,437x = 17,054,792,836
  5. Step 5: Solve for x
    x = 17,054,792,836/60,437
  6. Step 6: Final answer
    x = 282,191.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.