Finding the Third Proportional to 102,368.81 and 157,823.44
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Solution
The third proportional to 102,368.81 and 157,823.44 is: 243,318.61
Step by Step Solution
- Step 1: Write the proportion equation
102,368.81 : 157,823.44 = 157,823.44 : x - Step 2: Convert to fraction form
102,368.81/157,823.44 = 157,823.44/x - Step 3: Cross multiply
102,368.81x = 157,823.44 × 157,823.44 - Step 4: Simplify right side
102,368.81x = 24,908,237,424.32 - Step 5: Solve for x
x = 24,908,237,424.32/102,368.81 - Step 6: Final answer
x = 243,318.61
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.