Finding the Third Proportional to 65,803.50 and 105,967.50
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Solution
The third proportional to 65,803.50 and 105,967.50 is: 170,646.11
Step by Step Solution
- Step 1: Write the proportion equation
65,803.50 : 105,967.50 = 105,967.50 : x - Step 2: Convert to fraction form
65,803.50/105,967.50 = 105,967.50/x - Step 3: Cross multiply
65,803.50x = 105,967.50 × 105,967.50 - Step 4: Simplify right side
65,803.50x = 11,229,111,056.25 - Step 5: Solve for x
x = 11,229,111,056.25/65,803.50 - Step 6: Final answer
x = 170,646.11
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.